Effects of Magnetic Induction on MHD Boundary LayerFlow of Dusty Fluid over a Stretching Sheet

Abstract

This paper investigates effects of induced magnetic field on the MHD laminar boundary dusty fluid flow over a stretching flat plate surface. The dusty fluid flow is influenced by an external uniform magnetic field perpendicular to the stretch-ing plate. Moreover, the problem being studied is fully specified in terms of a characterizing parameters namely Hartmann number (M), interactions with dust particles (β), stock resistance (γ), Reynolds number (Re) and magnetic Reynoldsnumber (Rm). The basic governing partial differential equations are transformed into a system of ordinary differential equations by applying suitable similarity trans-formations. These equations are solved numerically by using collocation method through MATLAB function bvp4c. The effects of the characterizing parameters in this work on skin friction, dusty particles profile and magnetic inductions profile are tabulated, graphically depicted and discussed respectively. These results indi-cates the possible technological applications of our study in liquid based systems involving stretchable materials such as paint spray in motor vehicles. However, although some of our numerical solutions agree with some of the available results in the literature review, other results differs because of the effect of the introduced induced magnetic field.